4 papers · 1 filter
Scars in random waves and the FGF 1/2 universality class
Louis Gass, Giovanni Peccati, Michele Stecconi
We study the large-domain asymptotics of geometric observables in Berry's random wave model on . We show that, in sharp contrast with the behavior of stationary rando…
Tightness of Stationary Nodal Measures
Louis Gass, Giovanni Peccati
We study the rescaled nodal volume field associated with a smooth, stationary Gaussian field on , whose covariance satisfies adequate integrability conditions. Our…
Universal Cancellations in Uniform Random Waves
Louis Gass, Domenico Marinucci, Giovanni Peccati +2
A vast literature over the past fifteen years has been devoted to the study of the geometric properties of Gaussian random waves. In this work, we investigate the geometric behavio…
Nodal Volumes as Differentiable Functionals of Gaussian fields
Giovanni Peccati, Michele Stecconi
We characterize the absolute continuity of the law and the Malliavin-Sobolev regularity of random nodal volumes associated with smooth Gaussian fields on generic ma…